Derivative of (4x-5)^2
Answer
8*(-5+4*x)
Derivative of (4x-5)^2
- Rule Used
- Chain Rule
- Steps
- Identify a composite function in (-5)^2: use the chain rule = f'(g(x))·g'(x). The inner derivative is required because a stretch or shift of the input changes how fast the output moves.
- Differentiate the outer function, then multiply by the inner derivative.
- Final answer: 8*(-5+)
The derivative of (4*x-5)^2 is 8*(-5+4*x).
Instant step-by-step solution for (4x-5)^2
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Derivative of (4x-5)^2 = 8*(-5+4*x) Solve step-by-step for free: https://derivativecalculatorai.com/derivative-of-4x-minus-5-minus-to-minus-the-minus-2
How to find the derivative of (4x-5)^2
To find the derivative of (4x-5)^2, we use standard differentiation rules. Our AI-powered calculator breaks down the steps and explains the logic.
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Frequently Asked Questions
What is the derivative of (4x-5)^2?▼
The derivative of (4x-5)^2 is 8*(-5+4*x).
How do you find the derivative of (4x-5)^2?▼
Apply the standard differentiation rules — the key rule used here is the Chain Rule. The step-by-step result is 8*(-5+4*x).
Why is the derivative of (4x-5)^2 equal to 8*(-5+4*x)?▼
Because differentiation measures how a function changes — applying the rules to (4x-5)^2 yields 8*(-5+4*x). See the full step-by-step breakdown above.